Question:
State division algorithm for polynomials.
Solution:
If $f(x)$ and $g(x)$ are any two polynomials with $g(x) \neq 0$, then we can always find polynomials $q(x)$ and $r(x)$ such that $f(x)=q(x) g(x)+r(x)$, where $r(x)=0$ or degree $r(x)<$ degree $g(x)$